14x^2-59x+18=0

Solution for 14x^2-59x+18=0 equation:

14x^2-59x+18=0

a = 14; b = -59; c = +18;
Δ = b2-4ac
Δ = -592-4·14·18
Δ = 2473
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-\sqrt{2473}}{2*14}=\frac{59-\sqrt{2473}}{28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+\sqrt{2473}}{2*14}=\frac{59+\sqrt{2473}}{28}
$